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18 papers · 1 filter
Unpaired Majorana fermions in quantum wires
Alexei Kitaev
Certain one-dimensional Fermi systems have an energy gap in the bulk spectrum while boundary states are described by one Majorana operator per boundary point. A finite system of le…
Finding consensus in speech recognition: word error minimization and other applications of confusion networks
L. Mangu, E. Brill, A. Stolcke
We describe a new framework for distilling information from word lattices to improve the accuracy of speech recognition and obtain a more perspicuous representation of a set of alt…
Secure quantum key distribution using squeezed states
Daniel Gottesman, John Preskill
We prove the security of a quantum key distribution scheme based on transmission of squeezed quantum states of a harmonic oscillator. Our proof employs quantum error-correcting cod…
On the concentration of eigenvalues of random symmetric matrices
Michael Krivelevich, Van H. Vu
We prove that few largest (and most important) eigenvalues of random symmetric matrices of various kinds are very strongly concentrated. This strong concentration enables us to com…
Encoding a qubit in an oscillator
Daniel Gottesman, Alexei Kitaev, John Preskill
Quantum error-correcting codes are constructed that embed a finite-dimensional code space in the infinite-dimensional Hilbert space of a system described by continuous quantum vari…
A variational principle for domino tilings
Henry Cohn, Richard Kenyon, James Propp
We formulate and prove a variational principle (in the sense of thermodynamics) for random domino tilings, or equivalently for the dimer model on a square grid. This principle stat…